Robust Adaptive Sliding Mode Controller for a Nonholonomic Mobile Platform

In this paper, a robust adaptive sliding mode controller is designed for a mobile platform trajectory tracking.  The mobile platform is an example of a nonholonomic mechanical system. The presence of holonomic constraints reduces the number of degree of freedom that represents the system model, whil...

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Main Authors: Shibly Ahmed Al-Samarraie, Taif Ghadban Hama
Format: Article
Language:English
Published: University of Baghdad 2019-07-01
Series:Journal of Engineering
Subjects:
Online Access:http://joe.uobaghdad.edu.iq/index.php/main/article/view/970
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author Shibly Ahmed Al-Samarraie
Taif Ghadban Hama
author_facet Shibly Ahmed Al-Samarraie
Taif Ghadban Hama
author_sort Shibly Ahmed Al-Samarraie
collection DOAJ
description In this paper, a robust adaptive sliding mode controller is designed for a mobile platform trajectory tracking.  The mobile platform is an example of a nonholonomic mechanical system. The presence of holonomic constraints reduces the number of degree of freedom that represents the system model, while the nonholonomic constraints reduce the differentiable degree of freedom. The mathematical model was derived here for the mobile platform, considering the existence of one holonomic and two nonholonomic constraints imposed on system dynamics. The partial feedback linearization method was used to get the input-output relation, where the output is the error functions between the position of a certain point on the platform and the desired path. The dynamic error model was considered uncertain and subjected to friction torques on the wheels. The adaptive sliding mode control was utilized to design a robust controller, that will force the platform to follow the desired trajectory. The simulation of the proposed controller was done via MATLAB to reveal the ability of the robust adaptive sliding mode controller applied as a trajectory tracker for various path shapes.
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spelling doaj.art-8355e27a119c4acfa3ac8a02c1b5ffea2023-09-02T07:30:30ZengUniversity of BaghdadJournal of Engineering1726-40732520-33392019-07-0125810.31026/j.eng.2019.08.02Robust Adaptive Sliding Mode Controller for a Nonholonomic Mobile PlatformShibly Ahmed Al-Samarraie0Taif Ghadban Hama1Control & Systems Eng. Dept. University of TechnologyControl & Systems Eng. Dept. University of TechnologyIn this paper, a robust adaptive sliding mode controller is designed for a mobile platform trajectory tracking.  The mobile platform is an example of a nonholonomic mechanical system. The presence of holonomic constraints reduces the number of degree of freedom that represents the system model, while the nonholonomic constraints reduce the differentiable degree of freedom. The mathematical model was derived here for the mobile platform, considering the existence of one holonomic and two nonholonomic constraints imposed on system dynamics. The partial feedback linearization method was used to get the input-output relation, where the output is the error functions between the position of a certain point on the platform and the desired path. The dynamic error model was considered uncertain and subjected to friction torques on the wheels. The adaptive sliding mode control was utilized to design a robust controller, that will force the platform to follow the desired trajectory. The simulation of the proposed controller was done via MATLAB to reveal the ability of the robust adaptive sliding mode controller applied as a trajectory tracker for various path shapes.http://joe.uobaghdad.edu.iq/index.php/main/article/view/970Mobile platform, Non-holonomic constraints, Robust adaptive sliding mode controller, Partial feedback linearization.
spellingShingle Shibly Ahmed Al-Samarraie
Taif Ghadban Hama
Robust Adaptive Sliding Mode Controller for a Nonholonomic Mobile Platform
Journal of Engineering
Mobile platform, Non-holonomic constraints, Robust adaptive sliding mode controller, Partial feedback linearization.
title Robust Adaptive Sliding Mode Controller for a Nonholonomic Mobile Platform
title_full Robust Adaptive Sliding Mode Controller for a Nonholonomic Mobile Platform
title_fullStr Robust Adaptive Sliding Mode Controller for a Nonholonomic Mobile Platform
title_full_unstemmed Robust Adaptive Sliding Mode Controller for a Nonholonomic Mobile Platform
title_short Robust Adaptive Sliding Mode Controller for a Nonholonomic Mobile Platform
title_sort robust adaptive sliding mode controller for a nonholonomic mobile platform
topic Mobile platform, Non-holonomic constraints, Robust adaptive sliding mode controller, Partial feedback linearization.
url http://joe.uobaghdad.edu.iq/index.php/main/article/view/970
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